HBSE Class 10 Maths Syllabus: The Haryana Board Class 10 Maths Syllabus for the new academic session 2024-25 is provided here. The syllabus has been released on the board’s official website, bseh.org.in. Students must go through the detailed syllabus to get insights into the complete course structure including chapters to be covered, marking scheme, assessment criteria and question paper design. Direct download link to the HBSE Class 10 Maths Syllabus is provided here.
HBSE Class 10 Maths (Code - 009) Course Structure 2024-25
There are total 14 chapters included in the prescribed syllabus of HBSE Class 10 Mathematics. These chapters have been divided into seven units the weightage of which has been assigned as follows:
| Unit No. | Unit Name | Chapter | Marks |
| I | Number systems | Chapter-1: Real Numbers | 06 |
| II | Algebra | Chapter-2: Polynomials Chapter-3: Pair Of Linear Equations In Two Variables Chapter-4: Quadratic Equations Chapter-5: Arithmetic Progressions | 20 |
| III | Coordinate geometry | Chapter-7: Coordinate Geometry | 06 |
| IV | Geometry | Chapter-6: Triangles Chapter-10: Circles | 15 |
| V | Trigonometry | Chapter-8: Introduction To Trigonometry Chapter-9: Some Applications Of Trigonometry | 12 |
| VI | Mensuration | Chapter-11: Areas Related To Circles Chapter-12: Surface Areas And Volumes | 10 |
| VII | Statistics and Probability | Chapter-13: Statistics Chapter-14: Probability | 11 |
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| Total | 80 |
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| Internal Assessment | 20 |
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| Grand Total | 100 |
HBSE Class 10 Maths Syllabus 2024-25
Below is the list of chpater-wise topics prescribed for the academic year 2024-25.
| UNIT I: NUMBER SYSTEMS | |
| CHAPTER-1. Real Numbers | • Introduction Recall about rational numbers, Irrational numbers, Real numbers. • The Fundamental Theorem of Arithmetic Fundamental Theorem of Arithmetic-Statements after reviewing work done earlier and after illustrating and motivating through examples • Revisiting Irrational Numbers Proofs of irrationality of √2, √3, √5. • Summary |
| UNIT II: ALGEBRA | |
| CHAPTER-2. Polynomials | • Introduction Degree of the polynomial, Linear polynomial, Quadratic polynomial, cubic polynomial • Geometrical Meaning of the Zeroes of a Polynomial Zeroes of a polynomial with the help of examples • Relationship between Zeroes and Coefficients of a Polynomial Sum and product of zeroes of quadratic polynomial • Summary |
| CHAPTER-3. Pair of Linear Equations in Two Variables | • Introduction Recall linear equations in two variables ax+by+c=0 • Graphical Method of Solution of a Pair of Linear Equations • Algebraic Methods of Solving a Pair of Linear Equations Substitution Method Elimination Method • Summary |
| CHAPTER-4. Quadratic Equations | • Introduction • Quadratic Equations • Standard form of quadratic equation ax2 + bx + c=0 • Solution of Quadratic Equation by Factorisation • Nature of Roots Discriminant, (i) two distinct roots if b2- 4ac> 0 (ii) two equal roots if b2 - 4ac= 0 (iii) no real roots if b2 - 4ac< 0. • Summary |
| CHAPTER-5. Arithmetic Progressions | • Introduction Some patterns which occur in our day to day life. • Arithmetic Progressions Motivation for studying Arithmetic Progression. • nth Term of an A.P. Derivation and application of the nth Term. • Sum of First n Terms of an A.P. Derivation and application of Sum of the First n Terms of A.P. • Summary |
| UNIT III: COORDINATE GEOMETRY | |
| CHAPTER-7. Coordinate Geometry | • Introduction Review: Concepts of coordinate geometry. • Distance Formula • Section Formula (internal division) • Summary |
| UNIT IV: GEOMERY | |
| CHAPTER-6. Triangles | • Introduction • Similar Figures • Similarity of Triangles Definitions, examples, counter examples of similar triangles. 1. (Prove) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 2. (Motivate) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side. • Criteria for Similarity of Triangles 3. (Motivate) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and hence the two triangles are similar. 4. (Motivate) If in two triangles, sides of one triangle are proportional to the sides of the other triangle, then their corresponding angles are equal and hence he two triangles are similar. 5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, then the two triangles are similar. • Summary |
| CHAPTER-10. Circles | • Introduction • Tangent to a Circle Tangent to a circle at, point of contact, (prove ) The tangent at any point of a circle is perpendicular to the radius through the point of contact. • Number of Tangents from a Point on a Circle (prove) The lengths of tangents drawn from an external point to a circle are equal. • Summary |
| UNIT V: TRIGONOMETRY | |
| CHAPTER-8. Introduction to Trigonometry | • Introduction • Trigonometric Ratios Trigonometric ratios of an acute angle of a right-angled triangle, Proof of their existence (well defined). • Trigonometric Ratios of some Specific Angles Motivate the ratios whichever are defined at 0° and 90°,Values of Trigonometric ratios of 30°, 45° and 60°, Relationships between the ratios. • Trigonometric Identities Proof and applications of the identities sin2 A + cos2A=1, 1+ tan2A = sec2A, 1+cot2A= cosec2A, Only simple identities to be given. • Summary |
| CHAPTER-9. Some Applications of Trigonometry | • Introduction • Heights and Distances Simple Problems on heights and distances, Problems should not involve more than two right triangles, Angles of elevation/depression should be only 30°, 45°, 60°. • Summary |
| UNIT VI: MENSURATION | |
| CHAPTER-11. Area Related to Circles | • Introduction • Area of a Sector and Segment of a Circle • Summary |
| CHAPTER-12. Surface Areas and Volumes | • Introduction • Surface area of combination of Solids • Volume of a Combination of Solids • Summary |
| UNIT VII: STATISTICS AND PROBABILITY | |
| CHAPTER-13. Statistics | • Introduction • Mean of Grouped Data • Mode of Grouped Data • Median of Grouped Data • Summary |
| CHAPTER-14. Probability | • Probability- A Theoretical Approach Simple problems on finding the probability of an event. • Summary |
Internal Assessment
For internal assessment there will be Periodic Assessment that would include:
i) For 4 marks- Two SAT exams will be conducted with a weightage of 04 marks towards the final Internal Assessment.
ii) For 2 marks- One half yearly exam will be conducted with a weightage of 02 marks towards the final Internal Assessment.
iii) For 2 marks- One Pre-Board exam will be conducted with a weightage of 02 marks towards the final Internal Assessment.
iv) For 2 marks- Subject teacher will assess and give maximum 02 marks for CRP (Classroom participation).
v) For 5 marks- A project work to be done by students and will have a weightage of 05 marks towards the final Internal Assessment.
vi) For 5 marks- Attendance of student will be awarded 05 marks as:
- 75% to 80% - 01 marks
- Above 80% to 85% - 02 marks
- Above 85% to 90% - 03 marks
- Above 90% to 95% - 04 marks
- Above 95% to 100% - 05 marks
HBE Class 10 Maths Question Paper Design 2024-25
There will be an annual examination based on the entire syllabus. The annual examination will be of 80 marks and 20 marks weightage shall be for Internal assessment. The type and format of questions for the annual exam will be as per the following pattern:
Typology of questions
| Competencies | Marks | Percentage |
| Knowledge & understanding | 43 | 54 |
| Application | 19 | 24 |
| Skill | 18 | 22 |
| Total | 80 | 100 |
Format of Question Paper
| Type of Question | Marks | No. Of questions | Description | Total Marks |
| Objective Questions | 1 | 20 | 12 MCQ's, 3 one-word answer, 3 fill in the blanks, and 2 Assertion-Reason questions | 20 |
| Very Short Answer Type Questions | 2 | 5 | Internal choice will be given in any two questions. | 10 |
| Short Answer Type Questions | 3 | 6 | Internal choice will be given in any two questions. | 18 |
| Long Answer Type Questions | 5 | 4 | Internal choice will be given in all questions. | 20 |
| Source Based Questions | 4 | 3 | 3 Source based /case based/ passage based /integrated units of assessment 4 marks each | 12 |
| Total |
| 38 |
| 80 |
Download the complete syllabus in PDF below:
HBSE Class 10 Mathematics Syllabus 2024-25 (PDF) |
Also Check: HBSE Class 10 Syllabus 2024-25 (All Subjects)
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